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Volume 7, Number 3, 2017, Pages 1161-1176                                                                DOI:10.11948/2017072
Chaotic effects on disease spread in simple eco-epidemiological system
Junyuan Yang,Maia Marcheva,Zhen Jin
Keywords:Eco-epidemiological, Hopf bifurcation, chaos.
Abstract:
      In this paper, an eco-epidemiological model where prey disease is structured as a susceptible-infected model is investigated. Thresholds that control disease spread and population persistence are obtained. Existence, stability and instability of the system are studied. Hopf bifurcation is shown to occur where a periodic solution bifurcates from the coexistence equilibrium. Simulations show that the system exhibits chaotic phenomena when the transmission rate is varied.
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